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Spin Hall effect in a thin Pt film

R. S. Nair, M. S. Rang, and Paul J. Kelly*

  • Faculty of Science and Technology and MESA+ Institute for Nanotechnology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

  • *Corresponding author: P.J.Kelly@utwente.nl

Phys. Rev. B 104, L220411 – Published 27 December, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.L220411

Abstract

A density-functional-theory-based relativistic scattering formalism is used to study charge transport through thin Pt films with room-temperature lattice disorder. A Fuchs-Sondheimer specularity coefficient p∼0.5 is needed to describe the suppression of the charge current at the surface even in the absence of surface roughness. The charge current drives a spin Hall current perpendicular to the surface. Analyzing the latter with a model that is universally used to interpret the spin Hall effect in thin films and layered materials, we are unable to recover values of the spin-flip diffusion length lsf and spin Hall angle ΘsH that we obtain for bulk Pt using the same approximations. We trace this to the boundary conditions used and develop a generalized model that takes surface effects into account. A reduced value of ΘsH at the surface is then found to describe the first-principles transport results extremely well. The in-plane spin Hall effect is substantially enhanced at the surface.

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